We're dividing 233378 by 770 
We're looking to find how many times 770 goes into 233378.

On to step 1:
770 goes into 2 0 times with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Append the next digit (3) from the dividend to 2 and continue with: 23 / 770

On to step 2:
When dividing 23 by 770, we get 0 with a remainder of 23.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 23, we end up with 23.
Grab the next digit (3) from the dividend, add it to 23, then carry on: 233 / 770

Let's proceed to step 3:
770 goes into 233 0 times with a remainder of 233.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 233 after subtracting 0 from 233.
Grab the next digit (3) from the dividend, add it to 233, then carry on: 2333 / 770

Let's proceed to step 4:
When dividing 2333 by 770, we get 3 with a remainder of 23.
Write down 3 as next digit of the result. 
Result so far: 3.0
Deduct 2310 from 2333 and we're left with 23.
Include the next digit (7) from the dividend after 23, then repeat: 237 / 770

Let's proceed to step 5:
The number 770 fits into 237 0 times, leaving a remainder of 237.
The number 0 becomes the next digit in our result. 
Result so far: 30.0
If we subtract 0 from 237, we get 237.
Fetch the next digit (8) from the dividend, attach it to 237 and continue: 2378 / 770

Advancing to step 6:
2378 divided by 770 is 3 with a remainder of 68.
Write down 3 as next digit of the result. 
Result so far: 303.0
Deduct 2310 from 2378 and we're left with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Step 7:
The number 770 fits into 680 0 times, leaving a remainder of 680.
Write down 0 as next digit of the result. 
Result so far: 303.0
The remainder is 680 after subtracting 0 from 680.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6800, and continue the process.

Going ahead to step 8:
If we divide 6800 by 770, we get 8 and a remainder of 640.
The number 8 becomes the next digit in our result. 
Result so far: 303.08
The remainder is 640 after subtracting 6160 from 6800.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6400, and continue the process.

Going ahead to step 9:
The number 770 fits into 6400 8 times, leaving a remainder of 240.
Put 8 as the next digit of the answer. 
Result so far: 303.088
Subtract 6160 from 6400 to get 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2400, and continue the process.

After the division, we end up with 303.088 and a remainder of 0.024.